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Finding the Third Proportional to 215,793 and 338,511

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Solution

The third proportional to 215,793 and 338,511 is: 531,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,793 : 338,511 = 338,511 : x
  2. Step 2: Convert to fraction form
    215,793/338,511 = 338,511/x
  3. Step 3: Cross multiply
    215,793x = 338,511 × 338,511
  4. Step 4: Simplify right side
    215,793x = 114,589,697,121
  5. Step 5: Solve for x
    x = 114,589,697,121/215,793
  6. Step 6: Final answer
    x = 531,016.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.